The exact solutions of conformable time-fractional modified nonlinear Schrödinger equation by Direct algebraic method and Sine-Gordon expansion method-Reference-Cited by-同舟云学术

The exact solutions of conformable time-fractional modified nonlinear Schrödinger equation by Direct algebraic method and Sine-Gordon expansion method

Published:2022 Issue:6 Volume:7 Page:10807-10827
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Aderyani Safoura Rezaei¹,Saadati Reza¹,Vahidi Javad¹,Mlaiki Nabil²,Abdeljawad Thabet²³

Affiliation:

1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

2. Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>In this article, we used direct algebraic method (DAM) and sine-Gordon expansion method (SGEM), to find the analytical solutions of conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE) and finally, we present numerical results in tables and charts.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

1. D. Vivek, K. Kanagarajan, E. Elsayed, Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions, Mediterr. J. Math., 15 (2018), 15. https://doi.org/10.1007/s00009-017-1061-0

2. R. Kumar, S. kumar, S. kaur, S. Jain, Time fractional generalized Korteweg-de Vries equation: Explicit series solutions and exact solutions, J. Fract. Calc. Nonlinear Syst., 2 (2021), 62–77.

3. R. Khalil, M. Al Horani, A. Yousef, M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math., 264 (2014), 65–70. https://doi.org/10.1016/j.cam.2014.01.002

4. M. Bouloudene, M. A. Alqudah, F. Jarad, Y. Adjabi, T. Abdeljawad, Nonlinear singular $p$-Laplacian boundary value problems in the frame of conformable derivative, DCDS-S, 14 (2021), 3497–3528. https://doi.org/10.3934/dcdss.2020442

5. S. I. Butt, M. Nadeem, S. Qaisar, A. O. Akdemir, T. Abdeljawad, Hermite-Jensen-Mercer type inequalities for conformable integrals and related results, Adv. Differ. Equ., 2020 (2021), 501. https://doi.org/10.1186/s13662-020-02968-4

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability analysis and solitonic behaviour of Schrödinger’s nonlinear (2+1) complex conformable time fractional model;Optical and Quantum Electronics;2024-04-12

2. Soliton Solution of the Nonlinear Time Fractional Equations: Comprehensive Methods to Solve Physical Models;Axioms;2024-01-30

3. Solving the Fornberg–Whitham Model Derived from Gilson–Pickering Equations by Analytical Methods;Axioms;2024-01-23

4. Preliminaries;Studies in Systems, Decision and Control;2024

5. Stability and controllability results by n–ary aggregation functions in matrix valued fuzzy n–normed spaces;Information Sciences;2023-09